Answer:
Your answer would be D. 51
Step-by-step explanation:
Don't get mad if I am wrong. :)
Answer:
4/5
Step-by-step explanation:
The cosine of the angle is found as the ratio of adjacent to the hypotenuse.
To find it first find the sin 45 = √8/ x. This is equal to 4.
sin 45 = √8/ x
x = √8/ sin 45
x = 4
This means the triangle FHE has side lengths 3, 4, and 5.
The cosine of FHE will be FH / HE. This is 4/5.
The answer is 9 because 27/3 equals 9
Reflections and translations are instances of transformation.
<em>The rule of function g for the given reflection and translation is </em>
<em />
<em />
Given
![f(x) = 6x](https://tex.z-dn.net/?f=f%28x%29%20%3D%206x)
<u>The rule of translating 5 units up is:</u>
![(x,y) \to (x,y+5)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%5Cto%20%28x%2Cy%2B5%29)
So, we have:
![f'(x) = f(x) +5](https://tex.z-dn.net/?f=f%27%28x%29%20%3D%20f%28x%29%20%2B5)
![f'(x) = 6x +5](https://tex.z-dn.net/?f=f%27%28x%29%20%3D%206x%20%2B5)
<u>The rule of reflecting about the y-axis is:</u>
![(x,y) \to (-x,y)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%5Cto%20%28-x%2Cy%29)
So, we have:
![g(x) =f(-x)](https://tex.z-dn.net/?f=g%28x%29%20%3Df%28-x%29)
![g(x) =6(-x) + 5](https://tex.z-dn.net/?f=g%28x%29%20%3D6%28-x%29%20%2B%205)
![g(x) =-6x + 5](https://tex.z-dn.net/?f=g%28x%29%20%3D-6x%20%2B%205)
Hence, the rule of function g is: ![g(x) =-6x + 5](https://tex.z-dn.net/?f=g%28x%29%20%3D-6x%20%2B%205)
Read more about function transformations at:
brainly.com/question/13801312
The polar form of a complex number is another way to represent a complex number. The form is called the rectangular coordinate form of a complex number. The horizontal axis is the real axis and the vertical axis is the imaginary axis.